Action of the Semi-infinite Plates on the Elastic Layer ☆

Abstract The contact problem of acting of the two semi-infinite Kirchhoff plates on the elastic layer is considered. The vertical static stresses acts on the plates. The problem is to study the contact stresses concentrations between the plates and the layer in this block structure. It was proved that the contact stresses concentrations in the end-walls of the plats are the same as in the end-walls of the rigid stamps acted on the layer if the distance between the end-walls of the plates is not equal to zero and is equal the square of this stresses if this distance is equal to zero. It can induce the destruction of the materials in engineering or appearance of the earthquake in seismology.